If (log_{y}frac{1}{8}) = 3, find the value of y.
-
A.
-2 -
B.
-(frac{1}{2}) -
C.
(frac{1}{2}) -
D.
2
Correct Answer: Option C
Explanation
(log_{y}frac{1}{8} = 3 implies y^{3} = frac{1}{8}) (Laws of logarithm)
(y^{3} = frac{1}{2^{3}} = (frac{1}{2})^{3})
Equating both sides, we have
(y = frac{1}{2})